Single Power Of x?

[Rachel94]

The question that I'm working on is this,

Write each of the following expressions as a single power of x.

a) x^-6*x^5
b) x^3/x^-6
c) (x^-6)^5

How do I write an expression as the single power of x? All help is appreciated!
Thank you!

 

[masters]

The question that I'm working on is this,

Write each of the following expressions as a single power of x.

a) x^-6*x^5
b) x^3/x^-6
c) (x^-6)^5

How do I write an expression as the single power of x? All help is appreciated!
Thank you!

Hi Rachel94,

Remember your properties of exponents?

[1] $\displaystyle x^a \cdot x^b =x^{a+b}$

[2] $\displaystyle \frac{x^a}{x^b}=x^{a-b}$

[3] $\displaystyle (x^a)^b=x^{ab}$
===================================
[a] $\displaystyle x^{-6}\cdot x^5$

Use rule [1]
----------------------------------------
$\displaystyle \frac{x^3}{x^{-6}}$

Use rule [2]
----------------------------------------
[c] $\displaystyle (x^{-6})^5$

Use rule [3]
----------------------------------------
Let us know how you did.

 

[Rachel94]

Thank you for the help!
I understand it now, and was able to get all three finished.

 

[masters]

Thank you for the help!
I understand it now, and was able to get all three finished.

You're welcome.